标题： 量子宇宙学，最小长度与全息术 显示英文标题

标题： Quantum cosmology, minimal length and holography

摘要： 我们研究了广义不确定性原理对封闭弗里德曼宇宙经典和量子宇宙学的影响，其物质内容要么是尘埃要么是辐射流体。 更具体地说，假设存在最小长度，我们证明熵将构成一个狄拉克可观测量。 此外，我们还研究了't Hooft关于宇宙全息原理的猜想。 我们描述了当量子数 $n$ 取大值时，该全息原理是如何得到满足的。 这种情况发生在熵以最小面积来计算时。 显示英文摘要

摘要： We study the effects of a generalized uncertainty principle on the classical and quantum cosmology of a closed Friedmann Universe whose matter content is either a dust or a radiation fluid. More concretely, assuming the existence of a minimal length, we show that the entropy will constitute a Dirac observable. In addition, 't Hooft conjecture on the cosmological holographic principle is also investigated. We describe how this holographic principle is satisfied for large values of a quantum number, $n$. This occurs when the entropy is computed in terms of the minimal area.